LCM of 820, 288, 714, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 820, 288, 714, 824 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 820, 288, 714, 824. So, keep reading to learn more.
Given numbers are 820,288,714,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,288,714,824 is 723653280.
Find LCM of 820,288,714,824 with Prime Factorization
| 2 | 820, 288, 714, 824 |
| 2 | 410, 144, 357, 412 |
| 2 | 205, 72, 357, 206 |
| 3 | 205, 36, 357, 103 |
| 205, 12, 119, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 205 x 12 x 119 x 103 = 723653280
Therefore, the lowest common multiple of 820,288,714,824 is 723653280.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
820 x 288 x 714 x 824 = 138941429760
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
824 : 1, 2, 4, 8, 103, 206, 412, 824
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,288,714,824, is 2.
Now, the common factors can be found like this.
820:2x 2x 5x 41
288:2x 2x 2x 2x 2x 3x 3
714:2x 3x 7x 17
824:2x 2x 2x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3 = 96
Therefore, the value for common factors is 96.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 138941429760/(2x96)
LCM = 138941429760/192
LCM = 723653280
Thus, we can understand that the LCM of 820,288,714,824 is 723653280.
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FAQs on LCM of 820, 288, 714, 824
1. What is the LCM of 820, 288, 714, 824?
Answer: LCM of 820, 288, 714, 824 is 723653280.
2. How to calculate the LCM of 820, 288, 714, 824?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 820, 288, 714, 824.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.